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Question
Examine that sin |x| is a continuous function.
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Solution
Let f(x) = sin |x|
x = c ∈ R
`lim_(x -> c)` f(x) = `lim_(x -> c)` (sin |x|) = sin |c|
f(c) = sin |c|
Hence, f is a continuous function on x = c ∈ R.
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